# Free CBEST Section 1: Math Exam Braindumps (page: 6)

Page 6 of 26

Nationwide, in one year there were about 21,500 residential fires associated with furniture. Of these, 11,350 were caused by smoking materials. About what percent of the residential fires were smoking related?

1. 47%
2. 49%
3. 50%
4. 51%
5. 53%

##### Explanation:

Division is used to arrive at a decimal, which can then be rounded to the nearest hundredth and converted to a percentage: 11,350 divided by 21,500 = 0.5279.
0.5279 rounded to the nearest hundredth is 0.53, or 53%.

Jerry was 1/3 as young as his grandfather 15 years ago. If the sum of their ages is 110, how old is Jerry’s grandfather?

1. 80
2. 75
3. 65
4. 60
5. 50

##### Explanation:

This uses two algebraic equations to solve for the age. Jerry (J) and his grandfather (G) have a sum of ages of 110 years. Therefore, J + G = 110. Jerry was one- third as young as his grandfather 15 years ago. Therefore, J 15 = 1/3 (G 15). Solve the first equation for J: J = 110-G. Now substitute this value of J into the second equation: 110 G 15 = 1/3 (G 15). Solve for G: 95 G = 1/3 G 5; 100 = 4/3 G; G = 75.

Solve for x in the following equation: 1/3 x + 3 = 8.

1. 33
2. 15
3. 11
4. 3
5. 11/3

##### Explanation:

1/3 x + 3 = 8. In order to solve the equation, all numbers need to be on one side and all x values on the other. Therefore, 1/3 x = 5; x = 15.

Use the diagram below to answer the question.

What is the perimeter of the figure shown above?

1. 17
2. 20
3. 30
4. 40
5. 60

##### Explanation:

In order to find the perimeter, the hypotenuse of the triangle must be found. This comes from recognizing that the triangle is a 5-12-13 triangle, or by using the
Pythagorean theorem. 5 + 12 + 13 = 30.

Page 6 of 26

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